# Math Help - Compound Interest for Continuous compounding

1. ## Compound Interest for Continuous compounding

I know how to find C.I but how does one find it for "Compounding Continuously"??

2. This is where one of the most important numbers of modern mathematics comes in - e.

$e=\lim_{x\rightarrow\infty}(1+\frac{1}{x})^x$

And when compounding continuous interest the formula is:

$A=Pe^{rt}$

where A is the new amount, P is the principal amount, e is a constant, r is the growth rate, and t is time.